A NON-FICKIAN DIFFUSION EQUATION

被引:24
作者
DAS, AK
机构
[1] Department of Physics, Dalhousie University, Halifax
关键词
D O I
10.1063/1.349592
中图分类号
O59 [应用物理学];
学科分类号
摘要
A non-Fickian diffusion equation, which differs from the usual (Fickian) diffusion equation by having an additional, second-order derivative term in time, is considered to describe the dynamics of a Brownian particle. Some useful perspectives on this generalized diffusion equation are presented, particularly with respect to the effect of a potential field. Two quantities of physical interest, namely the mean square displacement and the particle flux at an absorbing boundary, are considered in the process of a comparative study of the two diffusion equations. We also discuss the applicability of the non-Fickian diffusion equation to some systems of physical and practical interest.
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页码:1355 / 1358
页数:4
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